Instability and quantization in quantum hydrodynamics

被引：1

作者：

Aharonov, Yakir ^{[1
,2
]}

Shushi, Tomer ^{[3
,4
]}

机构：

[1] Chapman Univ, Schmid Coll Sci, Orange, CA 92866 USA

[2] Tel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, Israel

[3] Ben Gurion Univ Negev, Ctr Quantum Sci & Technol, Beer Sheva, Israel

[4] Ben Gurion Univ Negev, Guilford Glazer Fac Business & Management, Dept Business Adm, Beer Sheva, Israel

来源：

MODERN PHYSICS LETTERS B | 2024年 / 38卷 / 27期

关键词：

Current density; energy levels; Madelung equations; nonlocality; phase difference; quantum hydrodynamics; quantization;

D O I：

10.1142/S0217984924502683

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We show how the quantum hydrodynamical formulation of quantum mechanics converts the nonlocality in the standard wave-like description of quantum systems by an instability of the quantum system, which opens the door to a new way for studying quantum systems based on known methodologies for studying the stability of fluids. As a second result, we show how the Madelung equations describe quantized energies without any external quantization conditions.

引用

页数：8

共 11 条

[1] Finally making sense of the double-slit experiment
Aharonov, Yakir
Cohen, Eliahu
Colombo, Fabrizio
Landsberger, Tomer
Sabadini, Irene
Struppa, Daniele C.
Tollaksen, Jeff
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2017, 114 (25) : 6480 - 6485
[2] Quantum hydrodynamics for plasmas-Quo vadis?
Bonitz, M.
Moldabekov, Zh A.
Ramazanov, T. S.
[J]. PHYSICS OF PLASMAS, 2019, 26 (09)
[3] Envelope solitary wave and periodic wave solutions in a Madelung fluid description of generalized derivative resonant nonlinear Schrodinger equation
Das, Amiya
Paul, Sujata
Jash, Sudipta
[J]. PHYSICS LETTERS A, 2021, 410
[4] Madelung transform and probability densities in hybrid quantum-classical dynamics
Gay-Balmaz, Francois
Tronci, Cesare
[J]. NONLINEARITY, 2020, 33 (10) : 5383 - 5424
[5] Khan SA, 2014, SPRINGER SER ATOM OP, V82, P103, DOI 10.1007/978-3-319-05437-7_4
[6] Geometric hydrodynamics via Madelung transform
Khesin, Boris
Misiolek, Gerard
Modin, Klas
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2018, 115 (24) : 6165 - 6170
[7] The Madelung Picture as a Foundation of Geometric Quantum Theory
Reddiger, Maik
[J]. FOUNDATIONS OF PHYSICS, 2017, 47 (10) : 1317 - 1367
[8] Reduced role of the wavefunctions' curvature of quantum potentials in non-standard quantum systems
Shushi, Tomer
[J]. PHYSICS LETTERS A, 2023, 475
[9] Classicality of single quantum particles in curved spacetime through the hydrodynamical reformulation of quantum mechanics
Shushi, Tomer
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2023, 56 (36)
[10] An appearance of classical matter from the self-organizing process of quantum systems
Shushi, Tomer
[J]. EPL, 2023, 141 (06)

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